21 citations · 93 across the 32 of their papers we have counts for
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math-ph2017★ 2 cited
On nonlinear scattering for quantum walks
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We study large time behavior of quantum walks (QW) with self-dependent coin. In particular, we show scattering and derive the reproducing formula for inverse scattering in the weak…
math.AP2017
On nonlinear profile decompositions and scattering for a NLS-ODE model
Scipio Cuccagna, Masaya Maeda
In this paper, we consider a Hamiltonian system combining a nonlinear Schr\" odinger equation (NLS) and an ordinary differential equation (ODE). This system is a simplified model o…